Technology and mathematics : philosophical and historical investigations /: philosophical and historical investigations. (2018)

• Record Type: Book
• Further Information: Note: Sven Ove Hansson, editor.
• Editors: Hansson, Sven Ove, 1951-
• Contents: Intro; Preface; Contents; About the Authors; Part I Introductory; 1 Introduction; 1.1 The Historical Connection; 1.2 Technology in Mathematics; 1.3 Mathematics in Technology; Part II The Historical Connection; 2 Mathematics and Technology Before the Modern Era; 2.1 Technologies for Counting and Arithmetic; 2.2 The Mathematics of Weaving; 2.3 Geometric Wonders of the Islamic World; 2.4 Medieval Master Builders in Europe; 2.5 Contacts with Mathematicians?; 2.6 Mathematics on the Offensive; 2.7 Epilogue; References; 3 Computation in Medieval Western Europe; 3.1 Introduction 3.2 Algorithms and Computistics3.3 Calculation; 3.4 Mechanical Reasoning; 3.5 Conclusion; References; 4 Leibniz and the Calculus Ratiocinator; 4.1 Introduction and Summary; 4.2 Leibniz's Calculating Machines; 4.3 Leibniz's Grand Vision of the Creation of the World; 4.4 Leibniz's Ambitious Dream of a Characteristica Universalis and Its Modest Realization as a Semantics for Syllogistic Inferences; 4.5 The Development of Leibniz's Universal Calculus; 4.5.1 Early Seventeenth Century Syllogistic; 4.5.2 From the 1678 "Calculus Ratiocinator" to an Algebra of Concepts 4.5.2.1 Conceptual Containment and Conceptual Coincidence4.5.2.2 Conceptual Conjunction; 4.5.2.3 Conceptual Negation; 4.5.2.4 Conceptual Possibility; 4.5.3 Indefinite Concepts, Quantifiers, and Individual Concepts; 4.5.4 "Real Addition and Subtraction": Some Building Blocks of Elementary Set-Theory; References; Leibniz's Works and Manuscripts; Secondary Literature; 5 Mathematics and Mechanical Computation; 5.1 Introduction; 5.2 Mechanical Computation; 5.3 Mathematics and Machines; 5.4 Computation as Systematic Method; 5.5 From Computation to Computing; 5.6 The Mechanical Notation 5.7 A Coding Problem5.8 Epilogue; References; 6 The Mathematical Origins of Modern Computing; 6.1 Introduction; 6.2 The Organization of Large-Scale Calculation; 6.3 Automating Calculation; 6.4 The Structures of Computation; 6.5 The Computer as Mathematical Instrument; 6.6 Planning and Coding; 6.7 From Tables to Subroutines; 6.8 Conclusions; References; 7 Cryptology, Mathematics, and Technology; 7.1 Introduction; 7.1.1 The Four Ages of Cryptology; 7.2 Classical Cryptography; 7.3 The Rise of the Machines; 7.3.1 Mathematics Comes to the Fore; 7.3.1.1 US Mathematical Cryptologists 7.3.1.2 Polish Mathematical Cryptologists7.3.1.3 British Mathematical Cryptologists; 7.3.1.4 German Mathematical Cryptologists; 7.3.2 The Enigma; 7.3.3 Tunny; 7.4 The Modern Era: Computers; 7.4.1 Generating Random Numbers; 7.4.2 The One-Time Pad; 7.5 Postmodern Era: Public Key Encryption; 7.5.1 RSA Encryption; 7.5.2 Key Exchange Protocols; 7.5.2.1 Diffie-Hellman Key Exchange; 7.5.2.2 Massey-Omura Key Exchange; 7.6 Through a Glass Darkly; 7.6.1 Case Study 1: I. J. Good; 7.6.2 Case Study 2: Aleksandr Alekseevich Borovkov; 7.7 Discussion; References; Part III Technology in Mathematics
• Publisher Details: Cham : Springer
• Publication Date: 2018
• Extent: 1 online resource
• Subjects: 510.1; Philosophy; Mathematics -- Philosophy; Technology -- Philosophy; MATHEMATICS / Essays; MATHEMATICS / Pre-Calculus; MATHEMATICS / Reference; Science -- History; Philosophy -- Logic; Mathematics -- History & Philosophy; Computers -- History; Computers -- Computer Science; History of science; Philosophy: logic; History of mathematics; Computing & information technology; Computer science; History; Logic; Computer science; Information theory; Philosophy -- Reference; Philosophy; Electronic books
• Languages: English
• ISBNs: 9783319937793; 3319937790
• Related ISBNs: 9783319937786; 3319937782
• Notes: Note: Includes bibliographical references.; Note: Online resource; title from PDF title page (EBSCO, viewed October 29, 2018)
• Access Rights: Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
• Access Usage: Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.